47.3k views
3 votes
Use the substitution method to solve the system of equations. Choose the

correct ordered pair.
x + 2y = 12
- x= -y-6
O A. (6.0)
O B. (8,2)
C. (9,3)
(7.1)

User Priyesh
by
4.9k points

2 Answers

4 votes

Answer:

B. (8,2)

Explanation:

Apex

Hope this helps Have a nice day

User Jiri Kralovec
by
5.8k points
5 votes

Answer:

The correct option is B....

Explanation:

The given equation is:

x + 2y = 12 -----equation 1

- x= -y-6. -------equation 2

lets take equation 2:

-x=-y-6

Take minus as common on R.H.S

-x= -(y+6)

x=y+6 (Lets call it equation 3)

Substitute the value of x in the first equation:

x+2y=12

y+6+2y=12

Combine the like terms:

y+2y = 12-6

3y=6

Divide both the sides by 3

3y/3=6/3

y=2

Now substitute the value of y in equation 3:

x=y+6

x=2+6

x=8

Thus the solution set is (x,y){(8,2)}.

The correct option is B....

User Kar
by
5.7k points
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